i1 : M = random(ZZ^3, ZZ^5) o1 = | 3 0 3 2 8 | | 9 6 9 7 1 | | 1 5 9 8 8 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 o3 = {2y*z + 9z - 21x - 37y - 108z + 477, 2x*z + 9z - 37x - 21y - 96z + ------------------------------------------------------------------------ 2 2 2 381, 6y + 33z - 109x - 157y - 330z + 1551, 3x*y - 3z - 4x - 7y + 30z ------------------------------------------------------------------------ 2 2 3 2 - 33, 6x + 33z - 127x - 67y - 330z + 1227, z + 6z - 56x - 56y - 151z ------------------------------------------------------------------------ + 816} o3 : List |